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Finding the Fourth Proportional to 154.96, 212.46 and 153.52

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Solution

The fourth proportional to 154.96, 212.46 and 153.52 is: 210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 212.46 = 153.52 : x
  2. Step 2: Convert to fraction form
    154.96/212.46 = 153.52/x
  3. Step 3: Cross multiply
    154.96x = 212.46 × 153.52
  4. Step 4: Simplify right side
    154.96x = 32,616.86
  5. Step 5: Solve for x
    x = 32,616.86/154.96
  6. Step 6: Final answer
    x = 210.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.